3. Verify that the indicated function (or family of functions) is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution. (c) y"+4y+13y = 26; y = c₁e-2+ cos(3t)+c2e -2t sin(3t) +2

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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3. Verify that the indicated function (or family of functions) is a solution of the given differential equation. Assume an
appropriate interval I of definition for each solution.
Transcribed Image Text:3. Verify that the indicated function (or family of functions) is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution.
(c) y"+4y+13y = 26; y = c₁e-2+ cos(3t)+c2e
-2t
sin(3t) +2
Transcribed Image Text:(c) y"+4y+13y = 26; y = c₁e-2+ cos(3t)+c2e -2t sin(3t) +2
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